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Cell[CellGroupData[{

Cell["Spiral Phyllotaxis", "Section",
 CellChangeTimes->{{3.7371976001174917`*^9, 3.7371976180866566`*^9}},
 CellID->167763018,ExpressionUUID->"e3ed8062-57ad-4433-b5b4-4f1063da7bdd"],

Cell[CellGroupData[{

Cell["\<\
The code in this example arranges points on a surface of revolution in a \
pattern that is similar to the way plants arrange leaves around a stem or \
seeds in a seed head. Simulating such \"spiral phyllotaxis\" mathematically \
for arbitrary surfaces of revolution requires calculating the solutions of \
integrals over the surface. Here is an example of such a pattern on a surface:\
\>", "Text",
 CellChangeTimes->{{3.7371976218216496`*^9, 3.7371978286691265`*^9}},
 CellID->159354913,ExpressionUUID->"6e5282b4-d097-4726-bf72-1bbf219fb233"],

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Cell[CellGroupData[{

Cell["Spiral Phyllotaxis Implementation", "Section",
 InitializationGroup->True,
 CellChangeTimes->{{3.520194319411022*^9, 3.520194322379734*^9}, {
  3.6203900652830753`*^9, 3.620390068539662*^9}, {3.731929543394119*^9, 
  3.7319295455701733`*^9}, {3.73720111348995*^9, 3.737201114097436*^9}},
 CellID->1865125129,ExpressionUUID->"ecc620a8-3e1a-4c4d-a0aa-ac676d4b6bc2"],

Cell["\<\
These are the Wolfram Language functions that implement spiral phyllotaxis on \
surfaces of revolution. Evaluate each definition to prepare for deploying the \
Grasshopper component.\
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Cell["\<\
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Cell[CellGroupData[{

Cell["\<\
Double-click the canvas and type \[OpenCurlyDoubleQuote]0<200<500\
\[CloseCurlyDoubleQuote] (without quotes) and then Return to create a slider. \
Drag from the slider output to the \[OpenCurlyDoubleQuote]num\
\[CloseCurlyDoubleQuote] input to connect them:\
\>", "Text",
 CellChangeTimes->{{3.7319362989522853`*^9, 3.7319363420275455`*^9}},
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Cell["\<\
Select the Surface tab in Grasshopper and drag a Sphere component to the \
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